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Finding the Fourth Proportional to 816.08, 1,125.71 and 521.50

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Solution

The fourth proportional to 816.08, 1,125.71 and 521.50 is: 719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.08 : 1,125.71 = 521.50 : x
  2. Step 2: Convert to fraction form
    816.08/1,125.71 = 521.50/x
  3. Step 3: Cross multiply
    816.08x = 1,125.71 × 521.50
  4. Step 4: Simplify right side
    816.08x = 587,052.34
  5. Step 5: Solve for x
    x = 587,052.34/816.08
  6. Step 6: Final answer
    x = 719.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.